A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup? test, the instructor asked the students to identify the particular tire that went...

A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup? test, the instructor asked the students to identify the particular tire that went flat. If they really? didn't have a flat? tire, would they be able to identify the same? tire? A statistician asked 41other randomly selected students to identify the tire they would select. The results are listed in the accompanying table. Use a0.05significance level to test the? statistician's claim that the results fit a uniform distribution. What does the result suggest about the likelihood of four students identifying the same tire when they really? didn't have a? flat?

Tire	Left Front	Right Front	Left Rear	Right Rear
Number Selected	15	6	11	9

Determine the null and alternative hypotheses.H0?:The tires are selected with the same frequency.H1?:At least one tire has a different frequency than the other tires. Calculate the test? statistic,?2.?2=  ? ?(Round to three decimal places as? needed.)